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Finding the Third Proportional to 1,598.06 and 2,223.84

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Solution

The third proportional to 1,598.06 and 2,223.84 is: 3,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.06 : 2,223.84 = 2,223.84 : x
  2. Step 2: Convert to fraction form
    1,598.06/2,223.84 = 2,223.84/x
  3. Step 3: Cross multiply
    1,598.06x = 2,223.84 × 2,223.84
  4. Step 4: Simplify right side
    1,598.06x = 4,945,481.02
  5. Step 5: Solve for x
    x = 4,945,481.02/1,598.06
  6. Step 6: Final answer
    x = 3,094.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.